{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/dux/miniforge3/envs/vssr-mc/lib/python3.11/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n",
      "  from .autonotebook import tqdm as notebook_tqdm\n"
     ]
    }
   ],
   "source": [
    "import os\n",
    "import pickle\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from ase.build.tools import sort\n",
    "from ase.visualize import plot\n",
    "from mp_api.client import MPRester  # new version of Materials Project API\n",
    "from pymatgen.io.ase import AseAtomsAdaptor\n",
    "\n",
    "from mcmc.utils.slab import surface_from_bulk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "MP_API_KEY = os.environ.get(\n",
    "    \"MP_API_KEY\",\n",
    "    os.environ.get(\"MP_API_KEY\"),  # replace with your own API key\n",
    ")  # new Materials Project website\n",
    "\n",
    "CHEM_FORMULA = \"SrTiO3\""
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Find SrTiO3 bulk in [Materials Project](https://next-gen.materialsproject.org)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Retrieving MaterialsDoc documents: 100%|██████████| 1/1 [00:00<00:00, 5924.16it/s]\n"
     ]
    }
   ],
   "source": [
    "mp_id = \"mp-5229\"  # cubic SrTiO3\n",
    "properties = [\n",
    "    \"energy\",\n",
    "    \"spacegroup\",\n",
    "    \"structure\",\n",
    "    \"cif\",\n",
    "    \"formation_energy_per_atom\",\n",
    "    \"e_above_hull\",\n",
    "    \"band_gap\",\n",
    "    \"material_id\",\n",
    "    \"tags\",\n",
    "]\n",
    "\n",
    "with MPRester(MP_API_KEY) as mpr:\n",
    "    mp_data = mpr.materials.search(\n",
    "        material_ids=[mp_id],\n",
    "        fields=properties,\n",
    "    )[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visualize the unit cell"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Convert object to ASE Atoms object\n",
    "ase_adaptor = AseAtomsAdaptor()\n",
    "SrTiO3_unit_cell = ase_adaptor.get_atoms(mp_data.structure)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, figsize=(4, 4), dpi=100)\n",
    "plot.plot_atoms(SrTiO3_unit_cell, ax, radii=0.8, rotation=(\"-75x, 45y, 10z\"))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Create a 2x2x2 supercell that we can use to construct the surface"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "SrTiO3_2x2x2_cell = SrTiO3_unit_cell.repeat((2, 2, 2))\n",
    "fig, ax = plt.subplots(1, 1, figsize=(4, 4), dpi=100)\n",
    "plot.plot_atoms(SrTiO3_2x2x2_cell, ax, radii=0.8, rotation=(\"-75x, 45y, 10z\"))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Cut the (001) surface slab"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Surface atoms are [68 69 70 71 72 73 74 75 76 77 78 79]\n",
      "Tags are [8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5\n",
      " 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1\n",
      " 1 1 1 1 1 1]\n",
      "Positions are [[ 0.          0.          7.5       ]\n",
      " [ 1.95635065  1.95635066  7.5       ]\n",
      " [ 0.          3.91270131  7.5       ]\n",
      " [ 1.95635065  5.86905197  7.5       ]\n",
      " [ 3.91270131  0.          7.5       ]\n",
      " [ 5.86905196  1.95635066  7.5       ]\n",
      " [ 3.91270131  3.91270131  7.5       ]\n",
      " [ 5.86905196  5.86905197  7.5       ]\n",
      " [ 0.          0.          9.45635066]\n",
      " [ 1.95635065  0.          9.45635066]\n",
      " [ 0.          1.95635066  9.45635066]\n",
      " [ 0.          3.91270131  9.45635066]\n",
      " [ 1.95635065  3.91270131  9.45635066]\n",
      " [ 0.          5.86905197  9.45635066]\n",
      " [ 3.91270131  0.          9.45635066]\n",
      " [ 5.86905196  0.          9.45635066]\n",
      " [ 3.91270131  1.95635066  9.45635066]\n",
      " [ 3.91270131  3.91270131  9.45635066]\n",
      " [ 5.86905196  3.91270131  9.45635066]\n",
      " [ 3.91270131  5.86905197  9.45635066]\n",
      " [ 0.          0.         11.41270131]\n",
      " [ 1.95635065  1.95635066 11.41270131]\n",
      " [ 0.          3.91270131 11.41270131]\n",
      " [ 1.95635065  5.86905197 11.41270131]\n",
      " [ 3.91270131  0.         11.41270131]\n",
      " [ 5.86905196  1.95635066 11.41270131]\n",
      " [ 3.91270131  3.91270131 11.41270131]\n",
      " [ 5.86905196  5.86905197 11.41270131]\n",
      " [ 0.          0.         13.36905197]\n",
      " [ 1.95635065  0.         13.36905197]\n",
      " [ 0.          1.95635066 13.36905197]\n",
      " [ 0.          3.91270131 13.36905197]\n",
      " [ 1.95635065  3.91270131 13.36905197]\n",
      " [ 0.          5.86905197 13.36905197]\n",
      " [ 3.91270131  0.         13.36905197]\n",
      " [ 5.86905196  0.         13.36905197]\n",
      " [ 3.91270131  1.95635066 13.36905197]\n",
      " [ 3.91270131  3.91270131 13.36905197]\n",
      " [ 5.86905196  3.91270131 13.36905197]\n",
      " [ 3.91270131  5.86905197 13.36905197]\n",
      " [ 0.          0.         15.32540262]\n",
      " [ 1.95635065  1.95635066 15.32540262]\n",
      " [ 0.          3.91270131 15.32540262]\n",
      " [ 1.95635065  5.86905197 15.32540262]\n",
      " [ 3.91270131  0.         15.32540262]\n",
      " [ 5.86905196  1.95635066 15.32540262]\n",
      " [ 3.91270131  3.91270131 15.32540262]\n",
      " [ 5.86905196  5.86905197 15.32540262]\n",
      " [ 0.          0.         17.28175328]\n",
      " [ 1.95635065  0.         17.28175328]\n",
      " [ 0.          1.95635066 17.28175328]\n",
      " [ 0.          3.91270131 17.28175328]\n",
      " [ 1.95635065  3.91270131 17.28175328]\n",
      " [ 0.          5.86905197 17.28175328]\n",
      " [ 3.91270131  0.         17.28175328]\n",
      " [ 5.86905196  0.         17.28175328]\n",
      " [ 3.91270131  1.95635066 17.28175328]\n",
      " [ 3.91270131  3.91270131 17.28175328]\n",
      " [ 5.86905196  3.91270131 17.28175328]\n",
      " [ 3.91270131  5.86905197 17.28175328]\n",
      " [ 0.          0.         19.23810393]\n",
      " [ 1.95635065  1.95635066 19.23810393]\n",
      " [ 0.          3.91270131 19.23810393]\n",
      " [ 1.95635065  5.86905197 19.23810393]\n",
      " [ 3.91270131  0.         19.23810393]\n",
      " [ 5.86905196  1.95635066 19.23810393]\n",
      " [ 3.91270131  3.91270131 19.23810393]\n",
      " [ 5.86905196  5.86905197 19.23810393]\n",
      " [ 0.          0.         21.19445459]\n",
      " [ 1.95635065  0.         21.19445459]\n",
      " [ 0.          1.95635066 21.19445459]\n",
      " [ 0.          3.91270131 21.19445459]\n",
      " [ 1.95635065  3.91270131 21.19445459]\n",
      " [ 0.          5.86905197 21.19445459]\n",
      " [ 3.91270131  0.         21.19445459]\n",
      " [ 5.86905196  0.         21.19445459]\n",
      " [ 3.91270131  1.95635066 21.19445459]\n",
      " [ 3.91270131  3.91270131 21.19445459]\n",
      " [ 5.86905196  3.91270131 21.19445459]\n",
      " [ 3.91270131  5.86905197 21.19445459]]\n"
     ]
    }
   ],
   "source": [
    "miller_index = (0, 0, 1)\n",
    "fixed = 0  # doesn't matter for now\n",
    "layers = 15  # in Angstroms\n",
    "size = [2, 2]\n",
    "vacuum = 7.5  # on each size\n",
    "symmetrize = False\n",
    "iterm = 1  # ensure Ti atoms are on the surface\n",
    "\n",
    "# Use pristine bulk to create surface\n",
    "SrTiO3_001_2x2_slab, surf_atoms = surface_from_bulk(\n",
    "    SrTiO3_2x2x2_cell,\n",
    "    miller_index,\n",
    "    layers=layers,\n",
    "    fixed=fixed,\n",
    "    size=size,\n",
    "    vacuum=vacuum,\n",
    "    iterm=iterm,\n",
    ")\n",
    "\n",
    "# Set surface atoms\n",
    "SrTiO3_001_2x2_slab.set_surface_atoms(surf_atoms)\n",
    "\n",
    "# Sort atoms by increasing z-coordinate\n",
    "SrTiO3_001_2x2_slab = sort(SrTiO3_001_2x2_slab, tags=SrTiO3_001_2x2_slab.positions[:, 2])\n",
    "\n",
    "print(f\"Surface atoms are {SrTiO3_001_2x2_slab.get_surface_atoms()}\")\n",
    "print(f\"Tags are {SrTiO3_001_2x2_slab.get_tags()}\")\n",
    "print(f\"Positions are {SrTiO3_001_2x2_slab.get_positions()}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, figsize=(4, 4), dpi=200)\n",
    "plot.plot_atoms(SrTiO3_001_2x2_slab, ax, radii=0.8, rotation=(\"-75x, 45y, 10z\"))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Save our surface slab"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# save the surface\n",
    "with open(f\"data/SrTiO3_001/{CHEM_FORMULA}_001_2x2x4_pristine_slab.pkl\", \"wb\") as f:\n",
    "    pickle.dump(SrTiO3_001_2x2_slab, f)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.8.13 ('surface_sampling': conda)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.9"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "e3e0723b7fd9866ee8f9ae4f62931968cf8456ef2195b337b8930ae9f61708cf"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
